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Finding the Fourth Proportional to 462.59, 693.89 and 381.26

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Solution

The fourth proportional to 462.59, 693.89 and 381.26 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.59 : 693.89 = 381.26 : x
  2. Step 2: Convert to fraction form
    462.59/693.89 = 381.26/x
  3. Step 3: Cross multiply
    462.59x = 693.89 × 381.26
  4. Step 4: Simplify right side
    462.59x = 264,547.13
  5. Step 5: Solve for x
    x = 264,547.13/462.59
  6. Step 6: Final answer
    x = 571.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.